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Finding the Fourth Proportional to 5,695, 8,547.42 and 2,234.68

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Solution

The fourth proportional to 5,695, 8,547.42 and 2,234.68 is: 3,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695 : 8,547.42 = 2,234.68 : x
  2. Step 2: Convert to fraction form
    5,695/8,547.42 = 2,234.68/x
  3. Step 3: Cross multiply
    5,695x = 8,547.42 × 2,234.68
  4. Step 4: Simplify right side
    5,695x = 19,100,748.53
  5. Step 5: Solve for x
    x = 19,100,748.53/5,695
  6. Step 6: Final answer
    x = 3,353.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.